1) Let S be a regular surface with parametrization X=X(u,v) , and associated metric I=(du 2 +dv...

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1) Let S be a regular surface with parametrization X=X(u,v) , and associated metric I=(du²+dv²)/v² on U={(u,v) | v>0} €R².

a) Evaluate Christoffel functions.

b) Evaluate the Gauss curvature.

c)Can this surface have the second fundamental form as II = (du²+dv²)/v² ?

Give reasons for your answers.

Related Book For answer-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Posted Date: Sep 11, 2020 12:47 PM

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1) Let S be a regular surface with parametrization X=X(u,v) , and associated metric I=(du 2 +dv...

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Introduction to Real Analysis

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